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SUMMARY:Robert Yuncken (Université de Lorraine)
DTSTART:20250129T200000Z
DTEND:20250129T210000Z
DTSTAMP:20260420T053211Z
UID:NYC-NCG/171
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/171/
 ">Crystallizing the algebra of functions on a compact semisimple Lie group
 </a>\nby Robert Yuncken (Université de Lorraine) as part of Noncommutativ
 e geometry in NYC\n\n\nAbstract\nThe theory of crystal bases is a means of
  simplifying the representation theory of semisimple Lie algebras by passi
 ng through quantum groups.  Varying the parameter q of the quantized envel
 oping algebras\, we pass from the classical theory at q=1 through the Drin
 feld-Jimbo algebras at 0 < q < 1 to the crystal limit at q=0.  At this poi
 nt\, the main features of the representation theory crystallize into purel
 y combinatorial data described by crystal graphs.  In this talk\, we will 
 describe what happens to the algebra of continuous functions on a compact 
 semisimple Lie group under the crystallization process\, yielding higher-r
 ank graph algebras.  This is joint work with Marco Matassa.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/171/
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